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Draw the graph of y=sec^(2)x-tan^(2)x. I...

Draw the graph of `y=sec^(2)x-tan^(2)x.` Is `f(x)` periodic? If yes, what is its fundamental period?

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We have `y=(tanx)/(tanx)=1,R-(2n+1)(pi)/(2),n in Z`
Hence the graph of the function is

From the graph, the period of the function is `pi`.
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CENGAGE PUBLICATION-GRAPHS OF TRIGONOMETRIC FUNCTIONS-Exercises
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  2. Draw the graph of y = " cosec "^(2) x - cot^(2) x. Is f(x) periodic ? ...

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  3. Draw the graph of y = cos pix.

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  4. Draw the graph of y = cos^(2)x.

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  7. Draw the graph of y = sin x + cos x, x in [0, 2pi].

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  9. Draw the graph of y = sin pisqrt(x).

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  14. Draw the graph of [y] = sin x, x in [0,2pi] where [*] denotes the grea...

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  15. The total number of solution of sin{x}=cos{x} (where {} denotes the fr...

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  16. Draw the graph of f(x) = |sinx| + |cos x|, x in R.

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  17. Find the number of solutions to cos x = (x)/(10), x gt 0.

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  18. The number of solutions of tanx-m x=0,m >1, in (-pi/2,pi/2) is 1 (b) 2...

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